Algebra of FGF Operations: Admissible Transformations, Stability Transitions, Compositions, and Fissions

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Abstract

ICMM-FW-05 introduces an intermediate operational layer within the ICMM (Complex Multi-Magnetic Information) framework, situated between the formal stabilization of Closed Geometric Forms (FGF) and the future introduction of STIM (Information–Matter Transformation System). This study defines a rigorous algebra of admissible operations acting on stabilized FGF identities, including invariant-preserving internal transformations, stability transitions, admissible compositions and fissions, and discrete invariant ruptures under constraint regimes. Admissibility is formalized as a partial morphism structure over typed constraint signatures, without invoking causality, energy, or physical dynamics. Chains of…

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Keywords
  • Morphism
  • Algebra over a field
  • Constraint (computer-aided design)
  • Stability (learning theory)
  • Transformation (genetics)
  • Rewriting
  • Invariant (physics)
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